A woodchuck could chuck about 700 pounds of wood on a good day, with the wind at his back. This is based on the research of Richard Thomas, a New York state wildlife expert who calculated the volume of dirt in a typical woodchuck burrow and determined that if the woodchuck had moved an equivalent volume of wood, it could move "about 700 pounds (320 kg) on a good day, with the wind at his back".
Of course, this is just an estimate. The actual amount of wood that a woodchuck could chuck would depend on a number of factors, including the size and strength of the woodchuck, the type of wood, and the weather conditions.
Sources
1. https://www.myth-weavers.com/showthread.php?t=395451
2. https://en.wikipedia.org/wiki/How_much_wood_would_a_woodchuck_chuck
